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Finding the Fourth Proportional to 3,614.53, 4,988.02 and 1,958.53

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Solution

The fourth proportional to 3,614.53, 4,988.02 and 1,958.53 is: 2,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.53 : 4,988.02 = 1,958.53 : x
  2. Step 2: Convert to fraction form
    3,614.53/4,988.02 = 1,958.53/x
  3. Step 3: Cross multiply
    3,614.53x = 4,988.02 × 1,958.53
  4. Step 4: Simplify right side
    3,614.53x = 9,769,186.81
  5. Step 5: Solve for x
    x = 9,769,186.81/3,614.53
  6. Step 6: Final answer
    x = 2,702.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.